Master the Concept of Conditional Probability with This Quiz!

Probability and Conditional Probability

• Variable B represents an event in probability theory.
• The probability of event A occurring is a measure of the likelihood of event A happening.
• The probability of event B occurring is a measure of the likelihood of event B happening.
• The conditional probability P(A|B) is the probability of event A occurring given that event B has already occurred.

Bayes Theorem

• Bayes theorem relies on conditional probability and is used to update the probability of an event based on new information.
• The formula for the probability of event A given event B has already occurred is P(A|B) = P(B|A) * P(A) / P(B).
• The probability of event A and event B happening together is represented by P(A ∩ B) = P(A|B) * P(B) = P(B|A) * P(A).
• In a Venn diagram, the blue shaded area typically represents the probability of event A occurring (P(A)).
• The red shaded area typically represents the probability of event B occurring (P(B)).
• The formula for event B given event A has already occurred is P(B|A) = P(A|B) * P(B) / P(A).